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On positive solutions for a nonlinear boundary value problem with impulse

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Abstract

In this paper we study nonlinear second order differential equations subject to separated linear boundary conditions and to linear impulse conditions. Sign properties of an associated Green’s function are investigated and existence results for positive solutions of the nonlinear boundary value problem with impulse are established. Upper and lower bounds for positive solutions are also given.

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Authors and Affiliations

  1. Department of Mathematics, Ankara University, 06100, Tandogan, Ankara, Turkey

    Huseyin Bereketoglu & Aydin Huseynov

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  1. Huseyin Bereketoglu
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  2. Aydin Huseynov
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Bereketoglu, H., Huseynov, A. On positive solutions for a nonlinear boundary value problem with impulse. Czech Math J 56, 247–265 (2006). https://doi.org/10.1007/s10587-006-0015-7

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  • DOI: https://doi.org/10.1007/s10587-006-0015-7

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